Search a number
-
+
218191368 = 23337245711
BaseRepresentation
bin11010000000101…
…01011000001000
3120012120021021210
431000111120020
5421324110433
633352333120
75256411303
oct1500253010
9505507253
10218191368
1110218844a
12610a41a0
1336286425
1420d99b3a
151424e463
hexd015608

218191368 has 32 divisors (see below), whose sum is σ = 560223360. Its totient is φ = 70764480.

The previous prime is 218191357. The next prime is 218191387. The reversal of 218191368 is 863191812.

218191368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2181913682 = 95214946139422848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121968 + ... + 123743.

It is an arithmetic number, because the mean of its divisors is an integer number (17506980).

Almost surely, 2218191368 is an apocalyptic number.

It is an amenable number.

218191368 is an abundant number, since it is smaller than the sum of its proper divisors (342031992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218191368 is a wasteful number, since it uses less digits than its factorization.

218191368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245757 (or 245753 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 218191368 is about 14771.3021768563. The cubic root of 218191368 is about 602.0222211567.

The spelling of 218191368 in words is "two hundred eighteen million, one hundred ninety-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 245711 491422 737133 982844 1474266 1965688 2948532 5897064 9091307 18182614 27273921 36365228 54547842 72730456 109095684 218191368